The homological dimension of the homomorphic module Hom (A, B)

Abstract:

      Let K be a field and R and S(?)K-algebras, then Hom(A, B) is an R(?)S module for a right R-module A and a left S-module B. In this paper the homo | logical dimension of Hom (A, B) is considered and it is shown under some assum ptions that 1.wd_R(?)SHom(A,B)=rid_RA+1.wd_sB.